Search a number
-
+
1332020232 = 2332194720717
BaseRepresentation
bin100111101100101…
…0000010000001000
310102211102122020200
41033121100100020
510211444121412
6340101452200
745002661624
oct11731202010
93384378220
101332020232
11623988574
12312111060
13182c6966a
14c8c98184
157be179dc
hex4f650408

1332020232 has 96 divisors (see below), whose sum is σ = 3878409600. Its totient is φ = 411668352.

The previous prime is 1332020201. The next prime is 1332020237. The reversal of 1332020232 is 2320202331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1332020237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53938 + ... + 74654.

It is an arithmetic number, because the mean of its divisors is an integer number (40400100).

Almost surely, 21332020232 is an apocalyptic number.

1332020232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332020232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939204800).

1332020232 is an abundant number, since it is smaller than the sum of its proper divisors (2546389368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1332020232 is a wasteful number, since it uses less digits than its factorization.

1332020232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20795 (or 20788 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1332020232 is about 36496.8523574294. The cubic root of 1332020232 is about 1100.2809838668.

Adding to 1332020232 its reverse (2320202331), we get a palindrome (3652222563).

It can be divided in two parts, 1 and 332020232, that added together give a palindrome (332020233).

The spelling of 1332020232 in words is "one billion, three hundred thirty-two million, twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 47 57 72 76 94 114 141 152 171 188 228 282 342 376 423 456 564 684 846 893 1128 1368 1692 1786 2679 3384 3572 5358 7144 8037 10716 16074 20717 21432 32148 41434 62151 64296 82868 124302 165736 186453 248604 372906 393623 497208 745812 787246 973699 1180869 1491624 1574492 1947398 2361738 2921097 3148984 3542607 3894796 4723476 5842194 7085214 7789592 8763291 9446952 11684388 14170428 17526582 18500281 23368776 28340856 35053164 37000562 55500843 70106328 74001124 111001686 148002248 166502529 222003372 333005058 444006744 666010116 1332020232